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Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions

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arxiv hep-ph/0504190 v1 pith:LU2GVYKZ submitted 2005-04-21 hep-ph

classification hep-ph
keywords axialcontributionsexpressionsfactorsformfunctionsnon-singletquark
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present closed analytic expressions for the order $\alpha_s^2$ triangle diagram contributions to the matrix elements of the singlet and non-singlet axial vector currents between the vacuum and a quark-antiquark state. We have calculated these vertex functions for arbitrary momentum transfer and for four different sets of internal and external quark masses. We show that both the singlet and non-singlet vertex functions satisfy the correct chiral Ward identities. Using the exact expressions for the finite axial vector form factors, we check the quality and the convergence of expansions at production threshold and for asymptotic energies.

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Cited by 2 Pith papers

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